Four members from a 36​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?

Twenty automobiles enter a race. Eight are made by manufacturer A, seven by manufacturer B, and the rest by manufacturer C. Keeping track of only the manufacturer of the cars, in how many ways can the cars cross the finish line?

complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO: No complaint Medical complaint Nonmedical complaint Total A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 423 patients was taken. Data was collected on whether a patient had filed a 177 111 135 Left 64 27 50 If the null hypothesis is Ho : pı = P2 = P3 and using a = 0.05, then do the following: (a) Find the expected number of people with no complaint who leave the HMO: (b) Find the expected number of people with a medical complaint who leave the HMO: (c) Find the expected number of people with a nonmedical complaint who leave the HMO: (d) Find the test statistic: (e) Find the degrees of freedom: (f) Find the critical value: (g) The final conclusion is OA. We…

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The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5 of whom are female; the College of Engineering, which has 8 staff, 4 of whom are female; and the College of Arts, which has 17 staff, 6 of whom are female.   Each college has a Dean, who is chosen from the staff in that college.   What is the total number of ways these three Deans can be chosen? Answer:   How many ways can three Deans be chosen, so that at least one of them is female? Answer:

Hale Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, and a parent. Here are the positions and the people interested in each. Position People interested Faculty member Mrs. Gray, Ms. Foster, Mr. Harris Male student Female student Abdul, Ravi, Sam, Chris Laura, Christine, Melissa, Karen Dr. Peterson, Mr. Hughes, Ms. Clark, Ms. Hernandez Based on this list, how many ways are there to fill the four committee positions? Parent Explanation Check X 5 hp Ⓒ2022 McGraw Hill LLC. All Rights Reserved Terms of Use Privacy Ce

2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.

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